# Can absolute calue equations have one solution?

Yes, for example:

| x | = 0

with the only solution:

x = 0

### A system of equations with exactly one solution?

A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.

### If a system of equations is independent how many soultions will it have?

A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.

### How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.

### What does the solution represent when a system of equations has a single solution?

The graphs of the two equations have only one intersection point.

### System of equations in slope-intercept form that has one solution Using complete sentences explain why this system has one solution?

Provide a system of equations in slope-intercept form that has one solution. Using complete sentences, explain why this system has one solution.

### How do you check a solution to a system of equations?

Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.

### When does a system of linear equations in two variables have a unique or one solution?

simultaneous equations

### What is a set of equations in the same variables?

It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.

### How will a system of equations that has one solution be graphed?

They will be a set of lines meeting at one point - the solution.

### How many solutions is it possible for a system of linear equations to have?

one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel

### Do all rational equations have a single solution?

Not all rational equations have a single solution but can have more than one because of having polynomials. All rational equations do have solutions that cannot fulfill the answer.

### Why a system of linear equations cannot have exactly two solutions?

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.

### What are the possible solutions for a system of equations?

The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do… Read More

### A system of linear equations that has soluton is?

A system of linear equations that has at least one solution is called consistent.

### A system of two linear equations has exactly one solution if?

The slopes (gradients) of the two equations are different.

### What system of two linear equations in two variables that has exactly one solution?

An independent system has one solution.

### Does the solution to a system of three equations in three variables is always one point?

No. There could be no solution - no values for x, y, and z so that the 3 equations are true.

### What are two absolute value equations that share part of a ray?

A ray, is a line that starts at one point and goes on forever. Two absolute value equations that could share part of a ray are 0,0 and 30,30.

### What is the solution to a linear equation?

The solution to a system on linear equations in n unknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.

### If a system has many solutions what kind of system of equations is it?

Coincidental equations are really the same and are the same line. They have infinite solutions meaning that any solution for one will be a solution for the other.

### What is the solution of 3x plus 7y-c equals?

Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.

### What is the solution system of equations of y-4x 1?

Since there are two variables involved ... 'x' and 'y' ... a solution requires two equations. That's why the collection of equations is called a "system" of them. So far, in your question, you have supplied one equation. We eagerly await the arrival of the second one, so that we may begin working on the solution.

### Does every pair of linear simultaneous equations have a solution?

Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept… Read More

### What are equations with the same solution?

Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy… Read More

### What is a unique solution in linear equations?

This is the case when there is only one set of values for each of the variables that satisfies the system of linear equations. It requires the matrix of coefficients. A to be invertible. If the system of equations is y = Ax then the unique solution is x = A-1y.

### What is numerical solutions of nonlinear equations?

Linear equations, if they have a solution, can be solved analytically. On the other hand, it may not always be possible to find a solution to nonlinear equations. This is where you use various numerical methods (eg Newton-Raphson) to work from one approximate numerical solution to a better solution. This iterative procedure, if properly applied, gives accurate numerical solutions to nonlinear equations. But as mentioned above, they are not arrived at analytically.

### Do equations with different slopes and different y-intercepts have a solution?

TWO linear equations with different slopes intersect in one point, regardless of their y-intercepts. That point is the solution of the pair. However, this does not mean that three (or more) equations in two variables, even if they meet the above conditions, have a solution.

### Answer this equations x plus 42y equals 4?

Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.

### Describe a consistent independent system of linear equations?

The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.

### Translate this word problem as a system of equations and then solve using substitution?

A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.

### Systems of equations have one solution?

Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.

### What is the situation when two linear inequalities have no common solution?

To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another… Read More

### When equations of linear systems have different slopes how many solutions does it have?

One solution

### How can you tell that an equation has the same solution as the original equation?

If the two equations are linear transformations of one another they have the same solution.

### Can you solve system of equations by graphing?

Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.

### What is a system of linear equations in two variables?

They are a set of equations in two unknowns such that any term containing can contain at most one of the unknowns to the power 1. A system of linear equations can have no solutions, one solution or an infinite number of solutions.

### How many solutions will a system of equations have if the graphs of the lines intersect?

A system of equations will have one solution if the graphs of the lines intersect. This is because the lines intersect at a single point. Let's say that point is (a, b). The x = a, y = b is the one and only solution for the system.

### When is there one solution to a system of linear equations?

When the solution is equal to a number, in other words, only one solution happens if you solve for your variables. 0 = 0 means there are many solutions and a number not equal to another number has no solution.

### Does the graph of a system of equations with different slopes have no solutions?

The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.

### When solving a system of equations by elimination you find what?

You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.

### -x plus y equals 4?

Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.

### -2X plus 3Y equals 8?

### Y equals 4.4x plus 9.2?

### -11x plus y equals 13?

### What do you call the graphs that intersect at exactly one point which gives solution of the system?

They are straight line graphs that work out the solutions of 2 equations or simultaneous equations

### How could you show that two equations aren't equivalent?

One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.

### When is it possible for an ordered pair to be the solution of more than one equation?

Always. Every ordered pair is the solution to infinitely many equations.